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Finding the Third Proportional to 528,842.25 and 805,663.13

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Solution

The third proportional to 528,842.25 and 805,663.13 is: 1,227,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,842.25 : 805,663.13 = 805,663.13 : x
  2. Step 2: Convert to fraction form
    528,842.25/805,663.13 = 805,663.13/x
  3. Step 3: Cross multiply
    528,842.25x = 805,663.13 × 805,663.13
  4. Step 4: Simplify right side
    528,842.25x = 649,093,070,984.77
  5. Step 5: Solve for x
    x = 649,093,070,984.77/528,842.25
  6. Step 6: Final answer
    x = 1,227,385.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.